| 摘要: |
| 本文研究了血液的分组化验模型.利用概率和微分学基本理论证明了当血样呈阳性的概率在某一确定范围时,分组化验存在最佳分组方案,针对给定的血样阳性概率给出了最佳分组k值的确定方法,得出了分组化验最佳分组k值计算公式. |
| 关键词: 分组化验 数学期望 最佳分组k值 迭代公式 阶梯函数 |
| DOI： |
| 分类号:O211.9 |
| 基金项目:河北省高等学校科学技术研究项目"血液分组化验模型的优化研究"(Z2013064). |
|
| STUDY ON OPTIMIZATION OF GROUP TEST MODEL |
|
GAO Huan-jiang1, ZHANG Cui-li1, GAO Peng2
|
|
1.Department of Occupational Mathematics, Xingtai Medical College, Xingtai 054000, China;2.College of Preventive Medicine, Third Military Medical University, Chongqing 400038, China
|
| Abstract: |
| In this paper, we consider a model of blood group test. The existence for the optimum method of grouping is proved when the positive probability of blood sample lies in a deflnite region by using probability theory and difierential calculus. It puts forward a method and derives a formula in questing of the optimum number k of group sample members with the deflnite positive probability. |
| Key words: group test mathematical expectation optimum number k of group sample members iterative formula step function |
